# Nonequilibrium dynamics of probe filaments in actin-myosin networks

## TL;DR

This paper investigates how active forces from molecular motors affect the non-equilibrium bending dynamics of probe filaments in actin-myosin networks, revealing broken detailed balance and correlations among bending modes.

## Contribution

It provides an analytical framework linking motor-induced forces to non-equilibrium mode correlations and probability currents in probe filaments within active cytoskeletal networks.

## Key findings

- Motor forces induce measurable non-equilibrium bending dynamics.
- Active forces create correlations among bending eigenmodes.
- Probability currents in mode space break time-reversal symmetry.

## Abstract

Active dynamic processes of cells are largely driven by the cytoskeleton, a complex and adaptable semiflexible polymer network, motorized by mechanoenzymes. Small dimensions, confined geome- tries and hierarchical structures make it challenging to probe dynamics and mechanical response of such networks. Embedded semiflexible probe polymers can serve as non-perturbing multi-scale probes to detect force distributions in active polymer networks. We show here that motor-induced forces transmitted to the probe polymers are reflected in non-equilibrium bending dynamics, which we analyze in terms of spatial eigenmodes of an elastic beam. We demonstrate how these active forces induce correlations among these mode amplitudes, which furthermore break time-reversal symmetry. This leads to a breaking of detailed balance in this mode space. We derive analytical predictions for the magnitude of resulting probability currents in mode space in the white-noise limit of motor activity. We relate the structure of these currents to the spatial profile of motor- induced forces along the probe polymers and provide a general relation for observable currents on two-dimensional hyperplanes.